Least Common Multiple of 1814 and 1821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1814 and 1821 the smallest integer that is 3303294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1814 and 1821 is 3303294.

LCM(1814,1821) = 3303294

LCM of 1814 and 1821

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1814 and 1821

LCM of 1814 and 1821 is 3303294

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1821. First we will calculate the prime factors of 1814 and 1821.

Prime Factorization of 1814


2 1814
907 907
1

Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:

1814 = 21×9071

Prime Factorization of 1821


3 1821
607 607
1

Prime factors of 1821 are 3,607. Prime factorization of 1821 in exponential form is:

1821 = 31×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 1814 and 1821.

LCM(1814,1821) = 21×31×6071×9071
LCM(1814,1821) = 3303294

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1, 2, 907, 1814

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1, 3, 607, 1821

Least Common Multiple of 1814 and 1821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1814 and 1821, than apply into the LCM equation.

GCF(1814,1821) = 1
LCM(1814,1821) = ( 1814 × 1821) / 1
LCM(1814,1821) = 3303294 / 1
LCM(1814,1821) = 3303294

Properties of LCM 1814 and 1821

(i) The LCM of 1821 and 1814 is associative

LCM of 1814 and 1821 = LCM of 1821 and 1814

Related Least Common Multiples of 1814

Related Least Common Multiples of 1821

Frequently Asked Questions on LCM of 1814 and 1821

1. What is the LCM of 1814 and 1821?

Answer: LCM of 1814 and 1821 is 3303294.

2. What are the Factors of 1814?

Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.

3. What are the Factors of 1821?

Answer: Factors of 1821 are 1, 3, 607, 1821. There are 4 integers that are factors of 1821. The greatest factor of 1821 is 1821.

4. How to Find the LCM of 1814 and 1821?

Answer:

Least Common Multiple of 1814 and 1821 = 3303294

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1821

1821 = 3 x 607

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3303294 = 2 x 3 x 607 x 907

Step 4: Therefore, the least common multiple of 1814 and 1821 is 3303294.